On the Solution of the Schrödinger Equation with Position-Dependent Mass

Round 1

Reviewer 1 Report

The author studies the Schrödinger equation in the presence of a position-dependent mass by means of group theory. Although similar studies have been performed using other methods (point canonical transformation, Nikiforov-Uvarov method and the method of Green’s functions), the mathematical method proposed by the author could be used in future studies to address more complicated problems, e.g., the Schrödinger equation in the case of a position- and time-dependent mass (as mentioned by the author in the conclusions) and/or in the case of a curved space. The results are clear and the analysis is consistent and complete. I therefore recommend publication of this article on the journal Universe. 

I only have a minor comment: The main results of the article are the equations reported in the section "results". I would ask the author to comment on the last to equations and produce a plot of the function \psi (with some choices of the parameters).

Author Response

Dear  Referee ,

Thank you very much for your suggestions. I explained the topics you suggested in the article.

 I hope I've been successful.

Best regards

Author Response File: Author Response.pdf

Reviewer 2 Report

Please find the report in attachment.

Comments for author File: Comments.pdf

Author Response

Dear Referee ,

       Thank you very much for your suggestions. I explained the topics you suggested in the article.  I hope  I've been successful.

Best regards

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The authors replied to all my criticisms.

I think that the manuscript is now suitable for publication.

Reviewer 2 Report

The author has successfully addressed all my concerns and I think the manuscript could be published in the present form.